Search a number
-
+
1060153640 = 2357131915329
BaseRepresentation
bin111111001100001…
…010100100101000
32201212212101101122
4333030022210220
54132344404030
6253110434412
735162104640
oct7714124450
92655771348
101060153640
114a447a137
12257062a08
1313b83c060
14a0b29520
15631148e5
hex3f30a928

1060153640 has 128 divisors (see below), whose sum is σ = 3090528000. Its totient is φ = 317841408.

The previous prime is 1060153631. The next prime is 1060153649. The reversal of 1060153640 is 463510601.

It is an interprime number because it is at equal distance from previous prime (1060153631) and next prime (1060153649).

It is a super-2 number, since 2×10601536402 = 2247851480810499200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (1060153649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61496 + ... + 76824.

It is an arithmetic number, because the mean of its divisors is an integer number (24144750).

Almost surely, 21060153640 is an apocalyptic number.

1060153640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1060153640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545264000).

1060153640 is an abundant number, since it is smaller than the sum of its proper divisors (2030374360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1060153640 is a wasteful number, since it uses less digits than its factorization.

1060153640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15379 (or 15375 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 1060153640 is about 32560.0006142506. Note that the first 3 decimals coincide. The cubic root of 1060153640 is about 1019.6620820908.

The spelling of 1060153640 in words is "one billion, sixty million, one hundred fifty-three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 19 20 26 28 35 38 40 52 56 65 70 76 91 95 104 130 133 140 152 182 190 247 260 266 280 364 380 455 494 520 532 665 728 760 910 988 1064 1235 1330 1729 1820 1976 2470 2660 3458 3640 4940 5320 6916 8645 9880 13832 15329 17290 30658 34580 61316 69160 76645 107303 122632 153290 199277 214606 291251 306580 398554 429212 536515 582502 613160 797108 858424 996385 1073030 1165004 1394939 1456255 1594216 1992770 2038757 2146060 2330008 2789878 2912510 3786263 3985540 4077514 4292120 5579756 5825020 6974695 7572526 7971080 8155028 10193785 11159512 11650040 13949390 15145052 16310056 18931315 20387570 26503841 27898780 30290104 37862630 40775140 53007682 55797560 75725260 81550280 106015364 132519205 151450520 212030728 265038410 530076820 1060153640